Answer:
Step-by-step explanation:
2x - 9y = 23
5x - 3y = -12x - 9y = 23
5x - 3y = -1
Answer:
1) E
2) D
3) G
4) I
Step-by-step explanation:
1)
P = 2(l + w)
P = 2(3a + 3 + 8a - 12)
P = 2(11a - 9)
P = 22a - 18
2)
P = 22a - 18
P = 22(3) - 18
P = 66 - 18
P = 48
3)
P = a + b + c
P = 3b + 7 + 7b - 2 + 7b - 2
P = 17b + 3
4)
P = 17b + 3
P = 17(6) + 3
P = 102 + 3
P = 105
Answer: Doubling the radius.
Step-by-step explanation:
The volume of a cone can be found with the following formula:
Where "r" is the radius and "h" is the height of the cone.
Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.
Identifiying that:
You get this volume:
If you double the radius, the volume of the conical tent will be:
When you divide both volumes, you get:
Therefore, doubling the radius will quadruple the volume of the tent.
Answer:
The width of the garden is 100 feet.
Step-by-step explanation:
The formula for the perimeter of a rectangle is 2(L+W) where L = length and W = width.
Since we know the perimeter (the fence that surrounds the garden) is 820 feet and the length of the pen is 10 feet longer than 3 times its width, we can set an equation and solve for the width:
L = 10 + 3W
So substitute 10 + 3W for L in the equation:
2[(10 + 3W) + W) = 820
2(10 + 4W) = 820
10 + 4W = 410
4W = 400
W = 100
Therefore, the width of the garden is 100 feet.
Answer:
4.65
Step-by-step explanation:
